Preprint A714/2012
LAW OF LARGE NUMBERS FOR CERTAIN CYLINDER FLOWS

Enrique Pujals | Cirilo, Patricia | Lima, Yuri

**Keywords: **

We construct new examples of cylinder flows, given by skew prod-
uct extensions of irrational rotations on the circle, that are ergodic and rationally ergodic along a subsequence of iterates. In particular, they exhibit
law of large numbers. This is accomplished by explicitly calculating, for a
subsequence of iterates, the number of visits to zero, and it is shown that such
number has a gaussian distribution.